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Basic ergodic theory (Texts and Readings in Mathematics) - Hardcover

 
9789380250434: Basic ergodic theory (Texts and Readings in Mathematics)

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This is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that the basic topics of Ergodic Theory such as the Poincare recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed. In the third edition a chapter entitled 'Additional Topics' has been added. It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions.

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M.G. Nadkarni
ISBN 10: 9380250436 ISBN 13: 9789380250434
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Nadkarni M.G.
Published by Hindustan Book Agency (India), 2013
ISBN 10: 9380250436 ISBN 13: 9789380250434
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M G Nadkarni
Published by Hindustan Book Agency, 2013
ISBN 10: 9380250436 ISBN 13: 9789380250434
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Seller: Vedams eBooks (P) Ltd, New Delhi, India

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Hardcover. Condition: New. Dust Jacket Condition: New. 3rd Edition. Contents: Preface. 1. The poincare recurrence Lemma. 2. Ergodic theorems of Birkhoff and von Neumann. 3. Ergodicity. 4. Mixing conditions and their characterisations. 5. Bernoulli shift and related concepts. 6. Discrete Spectrum theorem. 7. Induced automorphisms and related concepts. 8. Borel automorphisms are polish homeomorphisms. 9. The Glimm-Effros theorem. 10. E. Hopf's theorem. 11. H. Dye's theorem. 12. Flows and their representations. References. Index. "This is an introductory book on Ergodic theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that basic topics of Ergodic theory such as the Poincare recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed. These topics have so far not found a place in texts on Ergodic theory. "In the second edition, a section on rank automorphisms and a brief discussion of the Ergodic theorem due to Wiener and Wintner have been added." No. 27283 182 pp. Seller Inventory # 43345

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M. G. Nadkarni
Published by Hindustan Book Agency, 2013
ISBN 10: 9380250436 ISBN 13: 9789380250434
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Nadkarni M. G.
Published by Hindustan, 2013
ISBN 10: 9380250436 ISBN 13: 9789380250434
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Hardcover. Condition: New. ISBN:9789380250434. Seller Inventory # 2296140

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